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Finding the Fourth Proportional to 10,699.66, 14,765.34 and 5,919.43

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Solution

The fourth proportional to 10,699.66, 14,765.34 and 5,919.43 is: 8,168.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.66 : 14,765.34 = 5,919.43 : x
  2. Step 2: Convert to fraction form
    10,699.66/14,765.34 = 5,919.43/x
  3. Step 3: Cross multiply
    10,699.66x = 14,765.34 × 5,919.43
  4. Step 4: Simplify right side
    10,699.66x = 87,402,396.56
  5. Step 5: Solve for x
    x = 87,402,396.56/10,699.66
  6. Step 6: Final answer
    x = 8,168.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.